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The function f(x) = x^3 - 3x + 2 is differentiable at x = 1?
The function f(x) = x^3 - 3x + 2 is differentiable at x = 1?
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Q1
The function f(x) = x^3 - 3x + 2 is differentiable at x = 1?
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f(x) is a polynomial function, hence it is differentiable everywhere including at x = 1.
Questions & Step-by-step Solutions
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Q
Q: The function f(x) = x^3 - 3x + 2 is differentiable at x = 1?
Solution:
f(x) is a polynomial function, hence it is differentiable everywhere including at x = 1.
Steps: 5
Show Steps
Step 1: Identify the function f(x) = x^3 - 3x + 2.
Step 2: Recognize that f(x) is a polynomial function.
Step 3: Understand that polynomial functions are smooth and continuous.
Step 4: Know that smooth and continuous functions are differentiable everywhere.
Step 5: Conclude that since f(x) is a polynomial, it is differentiable at x = 1.
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